What is the 426th prime number?
The 426th prime number is 2957. The next prime is 2963 (a gap of 6) and the one before is 2953.
Position
Pick any whole number from 1 to 10,000.
How to work it out
- 1
List the primes in order: 2, 3, 5, 7, 11, 13, ā¦ The 426th one is 2957.
- 2
2957 is prime because no prime up to ā2957 ā 54.38 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 426th prime is close to 426 Ć ln(426) ā 2579, and here it is 2957.
- 4
2957 has no twin: neither 2955 nor 2959 is prime.
Primes around the 426th
| Position | Prime | Gap from the previous |
|---|---|---|
| 423 | 2927 | 10 |
| 424 | 2939 | 12 |
| 425 | 2953 | 14 |
| 426 | 2957 | 4 |
| 427 | 2963 | 6 |
| 428 | 2969 | 6 |
| 429 | 2971 | 2 |
Questions
What is the 426th prime number?
2957.
Which prime number is 2957?
2957 is the 426th prime number.
What is the sum of the first 426 primes?
581,921.